What is Volume?
2 and 3 Step Word Problems
V = ?
Composite Solids
More Volume!
100
What is the definition of volume?
Volume is the amount of space occupied by a 3-dimensional object.
100
Max is building a deck in his backyard. How many cubic feet of cement does Max need to order for a concrete deck that is 12 feet wide, 14 feet long, and 1/2 foot deep?
What is 84 cubic feet?
100
Daniel got a package in the mail. The package was in the shape of a rectangular prism. The base was in the shape of a square with a length of 8 inches. The height of the package was 5 inches. What is the volume of the package in cubic inches?
What is 320 cubic inches?
100
The volume of the composite figure below:
What is 128mm3?
100
Alexa made a 2-layer cake. Each layer is a 3 inch high rectangular prism. The base of the bottom layer is 120 square inches. The base of the top layer is 84 square inches. What is the total volume of the cake?
612 cubic inches
200
Explain the difference between 12 square units and 12 cubic units.
12 square units describes the area of a 2-dimensional figure. Is is the area covered by 12 squares that are 1 unit long. 12 cubic units describes the volume of a 3-dimensional figure that holds exactly 12 cubes whose edges are 1 unit long.
200
Daily Double!!
Natalia poured water into the rectangular tank until it was 3/5 full. Then she poured 1/4 of that water out. How much water does she still have in the tank? Give your answer in milliliters.
What is 1350 ml?
200
The total volume of a cube with the length of 13 cm, the width of 13 cm, the height of 13 cm.
What is 2,197 cm3?
200
A figure is composed of two rectangular prisms. Rectangle one has a base of 14 in2 and a height of 4 in. Rectangle two has a base of 21 in2 and a height of 4 in. Find the volume of the composite solid.
What is 140 in3?
200
How you find the base area of a rectangular prism.
What is Multiply the length times the width.
300
Volume is measured in ____________ units. (Fill in the blank.)
What are cubic units?
300
Brianna used unit cubes that were each 1 inch long, 1 inch wide, and 1 inch tall to make a right rectangular prism. When finished, the prism measured 30 inches long, 15 inches wide, and 12 inches tall. What was the total number of unit cubes used to make the prism?
What is 5,400 unit cubes?
300
A gardener has built a rectangular prism shaped planter box to plant a row of flowers. The box is 8 inches tall, 10 inches wide, and 30 inches long. How many cubic inches of soil are needed to completely fill this planter box?
2,400 cubic inches
300
Daily Double!!
I made a fort for my pet porcupine by connecting two boxes. The first box is 10 meters long, 7 meters wide, and 5 meters high. The second box is 4 meters long, 10 meters wide, and 8 meters high.
How many cubic meters of space does my porcupine have to play in his fort?
What is 670 m3?
300
Draw a rectangular prism with a length of 7 feet, a width of 6 feet, and a height of 8 feet.
See Drawings.
400
Explain how you can use multiplication to find the volume of any rectangular prism.
First, you can multiply the length by the width to find how many cubes are in 1 layer. Then you can multiply by the number of layers (height) to find the total volume.
400
It takes 16 one-inch cubes to completely cover the bottom of a cereal box without leaving any gaps or overlapping any cubes. The dimensions of the layer are 2 wide by 8 long. It takes a total of 12 layers of 16 cubes to fill the entire cereal box. What is the volume, in cubic inches, of the cereal box?
192 cubic inches
400
What is the volume of a cube with an edge length of 2 feet?
8 cubic feet
400
A pool shaped like a rectangular prism is 40 feet long, 20 feet wide, and 4 feet deep. Attached to the pool is a hot tub with 1/4 the volume of the pool. What is the total volume of the pool and hot tub?
4,000 cubic feet
400
A rectangular prism has a volume of 3,600 cubic feet. The base area of the figure is 360 square feet. What is the height of the prism?
10 feet
500
The formula to determine volume.
What is V = l x w x h?
500
A cubical tank whose edges each measure 14 centimeters is half-filled with water. The water is poured into an empty rectangular tank measuring 12 centimeters by 8 centimeters by 9 centimeters until it is full. How much water is left in the cubical tank? Give your answer in milliliters.
What is 504 ml?
500
The volume of the rectangular prism below in ml:
What is 4608 ml3?
500
The volume of the composite solid below:
What is 190m3?
500
The volume of a rectangular prism that has a base area of 45 square inches and a height of 9 inches.
What is 405 cubic inches.